Finding the Third Proportional to 137,776 and 195,007

Step by Step Solution

1. Step 1: Write the proportion equation
   137,776 : 195,007 = 195,007 : x
2. Step 2: Convert to fraction form
   137,776/195,007 = 195,007/x
3. Step 3: Cross multiply
   137,776x = 195,007 × 195,007
4. Step 4: Simplify right side
   137,776x = 38,027,730,049
5. Step 5: Solve for x
   x = 38,027,730,049/137,776
6. Step 6: Final answer
   x = 276,011.28